Parallel Lines

Parallel Lines are lines that do not intersect at any point. Five ways to prove that lines are parallel are:

1. Converse of Corresponding Angles Postulate: If two lines are cut by a transversal, meaning that the two corresponding angles are congruent.
2. Converse of Alternate Interior Angles Theorem: If two lines are cut by a transversal, meaning that a pair of alternate interior angles are congruent.
3. Converse of Alternate Exterior Angles Theorem: If two lines are cut by a transversal, meaning that a pair of alternate exterior angles are congruent.
4. Converse of Corresponding Same-side Interior Angles Theorem: If two lines are cut by a transversal, meaning that a pair of same-side interior angles are supplementary.
5. Parallel Postulate